What is (\partial)/(\partial y)(x^y) ?

The answer to (\partial)/(\partial y)(x^y) is x^yln(x)

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(\partial)/(\partial y)(x^y)

\frac{\partial}{\partial y} (x^{y})

x^{y} ln (x)

Solution steps

\frac{\partial}{\partial y} (x^{y})

Treat

x

as a constant

Apply the derivative exponent rule:

\frac{d}{d x} (a^{x}) = a^{x} ln (a)

= x^{y} ln (x)

\frac{( 2 x + y + 1 ) d y}{d x} = 1

\frac{d}{d z} (\frac{a z ^{2}}{a ^{2} + z ^{2}})

\int x^{3} x^{2} - 7 d x

\frac{\partial}{\partial t} (r \cdot sin (t))

\int a (x) d x

What is (\partial)/(\partial y)(x^y) ?
The answer to (\partial)/(\partial y)(x^y) is x^yln(x)